Toeplitz and Hankel Operators on a Vector-valued Bergman Space
نویسنده
چکیده
In this paper, we derive certain algebraic properties of Toeplitz and Hankel operators defined on the vector-valued Bergman spaces L2,C n a (D), where D is the open unit disk in C and n ≥ 1. We show that the set of all Toeplitz operators TΦ,Φ ∈ LMn(D) is strongly dense in the set of all bounded linear operators L(L2,Cn a (D)) and characterize all finite rank little Hankel operators.
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Products of Toeplitz Operators on a Vector Valued Bergman Space
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